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Truncations and truncated higher inductive types
Truncation is a homotopy-theoretic construction that given a space and an integer n returns an n-truncated space together with a map in an universal way. More precisely, if i is the inclusion of...
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Positive h-levels are closed under W
I was asked about my proof showing that positive h-levels are closed under W (assuming extensionality), so I decided to write a short note about it. W-types are defined inductively as follows (using...
View ArticleIsomorphism implies equality
Thierry Coquand and I have proved that, for a large class of algebraic structures, isomorphism implies equality (assuming univalence). A class of algebraic structures Structures in this class consist...
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